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4145424 = 243671289
BaseRepresentation
bin1111110100000100010000
321210121110020
433310010100
52030123144
6224503440
750143533
oct17640420
97717406
104145424
112381578
12147ab80
13b21b1a
1479ca1a
1556d419
hex3f4110

4145424 has 40 divisors (see below), whose sum is σ = 10877280. Its totient is φ = 1360128.

The previous prime is 4145423. The next prime is 4145459. The reversal of 4145424 is 4245414.

It is a happy number.

4145424 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4145394 and 4145403.

It is not an unprimeable number, because it can be changed into a prime (4145423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2572 + ... + 3860.

It is an arithmetic number, because the mean of its divisors is an integer number (271932).

Almost surely, 24145424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4145424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5438640).

4145424 is an abundant number, since it is smaller than the sum of its proper divisors (6731856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4145424 is a wasteful number, since it uses less digits than its factorization.

4145424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1361 counting only the distinct ones).

The product of its digits is 2560, while the sum is 24.

The square root of 4145424 is about 2036.0314339420. The cubic root of 4145424 is about 160.6409704682.

The spelling of 4145424 in words is "four million, one hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1289 1608 2578 3216 3867 5156 7734 10312 15468 20624 30936 61872 86363 172726 259089 345452 518178 690904 1036356 1381808 2072712 4145424